Uses Of Shell Sort In Data Structure

1. Shell sort is a generalization of.

A selection sort

An insertion sort

A bubble sort

None of the above

Shell sort is a generalization of an insertion sort. Shell sort improves upon the insertion sort by allowing elements that are far apart to be compared and swapped, which helps to move elements to their correct positions faster. The insertion sort algorithm is used within the Shell sort algorithm to sort the elements within the subarrays. Therefore, the correct answer is "An insertion sort."

Explanation

Shell sort is a generalization of an insertion sort. Shell sort improves upon the insertion sort by allowing elements that are far apart to be compared and swapped, which helps to move elements to their correct positions faster. The insertion sort algorithm is used within the Shell sort algorithm to sort the elements within the subarrays. Therefore, the correct answer is "An insertion sort."

2. True or False: When the shell sort is complete, the table has exactly three columns left.

True

False

The statement is false because the number of columns in a table is not related to the completion of shell sort. Shell sort is a sorting algorithm that rearranges elements in a list or table. It does not specify or affect the number of columns in the table. Therefore, the correct answer is False.

Explanation

The statement is false because the number of columns in a table is not related to the completion of shell sort. Shell sort is a sorting algorithm that rearranges elements in a list or table. It does not specify or affect the number of columns in the table. Therefore, the correct answer is False.

3. What is the main difference between a shell sort and the sort that it is similar to?

A shell sort algorithm takes longer time to execute

A shell sort takes bigger "steps"

A shell sort takes smaller "steps"

A shell sort has no distinctive feature

A shell sort takes bigger "steps" compared to the sort that it is similar to. This means that in a shell sort, elements that are far apart are compared and swapped, whereas in the similar sort, elements that are adjacent or nearby are compared and swapped. This difference in the size of steps taken during the sorting process is what sets shell sort apart from its similar counterpart.

Explanation

A shell sort takes bigger "steps" compared to the sort that it is similar to. This means that in a shell sort, elements that are far apart are compared and swapped, whereas in the similar sort, elements that are adjacent or nearby are compared and swapped. This difference in the size of steps taken during the sorting process is what sets shell sort apart from its similar counterpart.

4. What are the correct intermediate steps of the following data set when it is being sorted with the Shell sort?
15,20,10,18

15,10,20,18 -- 15,10,18,20 -- 10,15,18,20

15,20,10,18 -- 15,10,20,18 -- 10,15,20,18

10, 20,15,18 -- 10,15,20,18 -- 10,15,18,20

15,18,10,20 -- 10,18,15,20 -- 10,15,18,20

The given answer shows the correct intermediate steps of the data set being sorted with the Shell sort algorithm. The first step is swapping the second and third elements to get 15,10,20,18. Then, the third and fourth elements are swapped to get 15,10,18,20. Finally, the first and second elements are swapped to get the sorted sequence 10,15,18,20.

Explanation

The given answer shows the correct intermediate steps of the data set being sorted with the Shell sort algorithm. The first step is swapping the second and third elements to get 15,10,20,18. Then, the third and fourth elements are swapped to get 15,10,18,20. Finally, the first and second elements are swapped to get the sorted sequence 10,15,18,20.

5. In the shell sort algorithm, the array to be sorted can be visualized into a table. A sort is used to order the columns, which of the following statement(s) is(are) false?

Each time the process repeats itself, there is a smaller number of the longer columns.

Each time the process repeats itself, there are less columns but more rows.

Each time the process repeats itself, there are more columns and more rows.

B and C

In the shell sort algorithm, the array is divided into multiple subarrays and each subarray is sorted separately. The process then repeats with smaller subarrays until the entire array is sorted. In each iteration, the number of columns remains the same, but the number of rows may vary depending on the size of the subarray. Therefore, statement B and C are false.

Explanation

In the shell sort algorithm, the array is divided into multiple subarrays and each subarray is sorted separately. The process then repeats with smaller subarrays until the entire array is sorted. In each iteration, the number of columns remains the same, but the number of rows may vary depending on the size of the subarray. Therefore, statement B and C are false.